Answer:
12.1 is the distance between the two points
The image of the point (1, -3)(1,−3) under a translation is (-4, -2)(−4,−2). Find the coordinates of the image of the point (-3, 7)(−3,7) under the same translation.
Answer:
The new points under the translation are (-8,8) and (-8,8)
Step-by-step explanation:
The method is actually quite simple and only involves basic arithmetic. The first step is to identify the translations occurring to each coordinate. If we recall that an ordered pair is (x,y), we can assign the translations to each value. Let's take the first point (1, -3) to start. 1 is our x and -3 is our y. If we then look at the translated point we can see that the x value there is -4. Then we can simply subtract the new x value, -4, from the first one, 1, and get 5. 5 is the number that we have to subtract from the next coordinate set to get the translated set. This gets us the first value of the second point -8 which we got by subtracting our 5 from the -3 in the x. Next, we can do the y value. The process is identical. Subtract the new from the old, -3-(-2)=-1. We then simply subtract the negative one (or just add one) from the y value of the other set. This gives us a value of 8, 7-(-1)=8. Then compound the two together putting x first then y and there you have it! Happy to help, Mw
what is m
picture below!!Answer:
Please check the explanation.
Step-by-step explanation:
We know that a pentagon is a polygon with 5 sides and 5 angles.
Given the polygon with 5 angles.
A pentagon is a polygon with 5 sides and 5 angles.
The angles of the given pentagon are:
∠P = (4x + 2)°
∠Q = 132°
∠R = (4x - 10)°
∠S = (5x - 11)°
∠T = 128°
We know that the sum of the measures of the interior angles of a pentagon is 540 degrees.
Therefore,
∠P + ∠Q + ∠R + ∠S + ∠T = 540°
(4x + 2)° + 132° + (4x - 10)° + (5x - 11)° + 128° = 540°
group similar elements
4x + 4x + 5x + 2 + 132 - 10 - 11 + 128 = 540
simplify
13x + 241 = 540
subtract 241 from both sides
13x + 241 - 241 = 540 - 241
13x = 299
divide both sides by 13
13x/13 = 299/13
x = 23
Thus, the value of x = 23
Therefore, the measure of angle ∠S is:
m∠S = (5x - 11)°
= (5(23) - 11)°
= (115 - 11)°
= 104°
Thus,
m∠S = 104°
Evaluate f(x)=−7x−5 when x=−6.
f(−6)=
Answer:
f(_6) = _7(_6)_5
=42_5
=37
A running track has two straight sides with length 140 m and two semicircle ends with radius 70 m. It takes Kat 40 seconds to jog 160 m. How long would it take her to jog around the track 51 times? Give your answer in hours and minutes, to the nearest minute.
It would take her 4590 seconds to jog round the track 51 times
Speed is the ratio of the total distance travelled to total time taken. It is given by:
Speed = distance / time
Kat uses 40 seconds to jog 160 m, hence:
Speed = 160 m / 40 s = 4 m/s
The track length = 140 m + 2 * (π * 70) = 360 m
Time taken to jog round the track (t) is:
4 m/s = 360 m / t
t = 90 s
To jog round the track 51 times, time taken = 51 * 90 s = 4590 seconds
It would take her 4590 seconds to jog round the track 51 times
Find out more at: https://brainly.com/question/23774048
A bank promises to pay 5.5% pa compound interest on
deposits of £2337 if saved for 3 years. How much will the
savings be worth at the end of the period mentioned? Write
your answer correct to 2 decimal places.
Answer:
Answer:
£407.20Step-by-step explanation:
Deposit = £2337Interest = 5.5% pa compound Time = 3 yearsSavings:
2337*((1 + 5.5/100)^3 - 1) = 2337*((1.055)^3 - 1) =407.20Determine whether the triangles are similar.
similar it is just 3 times bigger but similar
0.00002004 and 0.01203000 in scientific notation
Answer:
Below...
Step-by-step explanation:
Scientific Notation:
2.004 × 10-5
Scientific Notation:
1.203 × 10-2
Find the formula for the nth term of these sequences:
(a) 2, 5, 10, 17, 26, …….
(b) 4, 10, 20, 34, 52, ………
Part of a geometric sequence is given below:
,,,,, -1, ,,,, , ,,,,,, 64, ,,,,,
Where uₙ means the nth term, hence, u₂ = -1, and u₅ = 64.
Second term is -1, and the fifth term is 64. Calculate:
(a) The common ratio (r)
(b) The value of the first term (a) or u₁
(c) The value of the 10th term.
I need it by today!! and please for the people who type to get points please dont do it with me
A child makes a pitcher of fruit punch by completely dissolving fruit- flavoured powder in water. The child drinks a glass and decides the punch needs to be sweeter, so she stirs in more powder. This time the powder does not all dissolve, but settles on the bottom of the pitcher. A) Is the fruit-flavoured powder a pure substance or a mixture? * helpme anyone?
The volume of a cylinder whose radius is 2r cm and height h/4cm is______________
Answer:
V=πrh/2
Step-by-step explanation:
volume of a cylinder can be calculated using below formula
V=πr2h
Given:
radius =2r cm
height= h/4cm
If we substitute the given value into the formula we have πrh/2
V= π ×(2r) ×(h/4)
Simplyfying
V=πrh/2
Hence, The volume of a cylinder is V=πrh/2
what is an equation of the line that passes through the point (5,1) and is parallel to the line x+y=9
Find the volume of a cylinder that has a diameter of 12 cm and a height of 5
cm. Use 3.14 for pi and round to the nearest tenth. *
Answer:
V≈565.5cm³ is the answer
Dax is buying coffee for 5 people in his office. He also leaves a $2.00 tip for the barista.
If his total, with tip, is $18.25, how much is each cup of coffee, not including the tip?
Answer:
3.25
Step-by-step explanation:
200 people buy plane tickets.
92 males buy tickets
30 of the males buy Business tickets
62 females buy Economy tickets
A total of 44 people buy Business tickets.
A total of 60 people buy Premium tickets.
How many males buy Premium tickets?
You must show all your working.
please help me prove the identity
Answer:
[tex]\frac{1-\tan x }{1+\cot x}[/tex]
Step-by-step explanation:
Let [tex]\frac{\sin 2x+\cos 2x-1}{\sin 2x+\cos 2x + 1}[/tex], we proceed to prove the given identity by trigonometric and algebraic means:
1) [tex]\frac{\sin 2x+\cos 2x-1}{\sin 2x+\cos 2x + 1}[/tex] Given
2) [tex]\frac{2\cdot \sin x \cdot \cos x +\cos ^{2}x - \sin^{2}x-1}{2\cdot \sin x \cdot \cos x +\cos ^{2}x - \sin^{2}x+1}[/tex] [tex]\sin 2x = 2\cdot \sin x \cdot \cos x[/tex]/[tex]\cos 2x = \cos^{2}x - \sin^{2}x[/tex]
3) [tex]\frac{2\cdot \sin x \cdot \cos x -\sin^{2}x-(1-\cos^{2}x)}{2\cdot \sin x\cdot \cos x +\cos^{2}x+(1-\sin^{2}x)}[/tex] Commutative, associative and distributive properties/[tex]-a = (-1)\cdot a[/tex]
4) [tex]\frac{2\cdot \sin x \cdot \cos x -2\cdot \sin^{2}x}{2\cdot \sin x \cdot \cos x +2\cdot \cos^{2}x}[/tex] [tex]\sin^{2}x + \cos^{2}x = 1[/tex]
5) [tex]\frac{(2\cdot \sin x)\cdot (\cos x-\sin x)}{(2\cdot \cos x)\cdot (\sin x +\cos x)}[/tex] Distributive and associative properties.
6) [tex]\frac{\sin x\cdot (\cos x-\sin x)}{\cos x\cdot (\sin x +\cos x)}[/tex] Existence of multiplicative inverse/Commutative and modulative properties.
7) [tex]\frac{\frac{\cos x -\sin x}{\cos x} }{\frac{\sin x + \cos x}{\sin x} }[/tex] [tex]\frac{\frac{x}{y} }{\frac{w}{z} } = \frac{x\cdot z}{y\cdot w}[/tex]
8) [tex]\frac{\frac{\cos x}{\cos x}-\frac{\sin x}{\cos x} }{\frac{\sin x}{\sin x}+\frac{\cos x}{\sin x} }[/tex] [tex]\frac{x+y}{w} = \frac{x}{w} + \frac{y}{w}[/tex]
9) [tex]\frac{1-\tan x }{1+\cot x}[/tex] Existence of multiplicative inverse/[tex]\tan x = \frac{\sin x}{\cos x}[/tex]/[tex]\cot x = \frac{\cos x}{\sin x}[/tex]/Result
Brianna bought snacks for her team's practice. She bought a bag of
oranges for $2.63 and a 8-pack of juice bottles. The total cost before
tax was $16.07. Write and solve an equation which can be used to
determine x, how much each bottle of juice costs?
Answer:
$1.68
Step-by-step explanation:
The total cost is $16.07 and there was 2 things bought- the oranges and the juice bottles. to make it easier to find the cost of the juice bottles, we'll subtract the cost of the oranges (2.63) from the total (16.07), which gives us 13.44. this number represents the total cost of only the bottles. To find out the cost if each individual bottle, you need to divide the total (13.44) by the number of bottles (8). This gives us 1.68, so the cost of each bottel is $1.68
Hope this help :)
You have two identical boxes which an interior dimensions of 8.0x8.0x8.0. You completely fill one of the boxes with wooden spheres that are 1.6 in diameter. The other box gets filled with wooden cubes that are 1.6 cm on each edge. After putting the lid on the filled boxes, you then measure the density of each. Which one is more dense?
Answer: The one filled with wooden cubes.
Step-by-step explanation:
First, the box filled with spheres will have empty space, this is for how spheres are, so independent of the radius of the sphere, we will always have some empty space inside the box.
In the case of the cubes, this does not happen. Furthermore, the dimension of the box are 8cm by 8cm by 8cm, and the cubes have a sidelength of 1.6cm
We know that:
1.6cm*5 = 8cm
Then we can perfectly fill the box with the wooden cubes (such that there is no empty space like in the previous case).
Because this box has no empty space and is filled with the same material as the other box, we can conclude that this box will have a larger mass than the one filled with spheres.
And we know that:
density = mass/volume.
Both boxes have the same volume, but the box with cubes has a larger mass, then the box with cubes will have a larger density.
Solve for x
7x = 2
Give your answer as a fraction in its simplest form
Answer:
2/7
Step-by-step explanation:
7x/7=2/7
Simplify:Cancel terms that are both the numerator and denominator
Solution: 2/7
MMMM THE MODERATORS ARE MAKING ME FLIPPING ANGRY! I NEED SOMEONE TO ANSWER MY QUESTION PLEASE .
Answer:
780
Step-by-step explanation:
So 5% is 39 so 5% x 20 is 100% do the same with the 39 so do
39 x 20 = 780
[tex]-4 ( x + 1/16 )[/tex]
Answer:
-4x - 1/4
Step-by-step explanation:
-4(x + 1/16)
-4x - 1/4
The coordinates of a triangle are P(1, 4), Q(3, 6), and R(5, 2). The triangle is reflected over a line and its image coordinates are P'(–1, 4), Q'(–3, 6), and R'(–5, 2).
Answer:
Its reflected over the y axis
Help me please if you get it right brainless for you ^-^
Answer:
C
Step-by-step explanation:
I read it.
Answer:
Step-by-step explanation:
To increase Readers' interest.
Explanation: The similarity in this excerpt is that, The sun's disappearance after sunset is similar to the way an object disappears near a black hole.
what is y=3/4x-2 in standard form
Answer:
Hi! The correct answer is 3x-4y=8
Step-by-step explanation:
PLEASE HELP ME IT IS AN EMERGENCY!!!!!!!!! I WILL MARK BRAINLLIEST FOR THE CORRECT ANSWER!!!!!!!!!!!!
When the original price and discounted prices are known, how can we find the percent markdown?
Step-by-step explanation:
The amount that you decrease the price by can be expressed as a percent of the selling price, known as the markdown rate.
A piano has 88 keys. Fifty-two of the keys are white.
How many more white keys are there than black keys?
Answer:
36
Step-by-step explanation:
88 - 52
=36
20% of____ is 15 ????
Answer:
The Correct Answer is 3
Step-by-step explanation:
(6x10^6) / (2x10^3) solve?
Answer:
3x^999000
Explantiotn
Identify the y-intercept of the graph of the equation.
Answer:
3
Step-by-step explanation:
the y intercept is were x=0
1,092 inches to yards
Answer:
Step-by-step explanation:
It would be 30.33 repeating.
Answer:
30.33 yards
Step-by-step explanation:
36 inches to a yard, so divide the length value in yards by 36.
1092 / 36 = 30.33 yds
What is 5884 diveded by 94?
Answer:
62.5957447
Step-by-step explanation:
= 62 R 56
= 62 56/94
= 62 28/47
Answer:
The answer is 62.6
Step-by-step explanation:
Plz help I don’t understand how to do this problem
Answer:
a) 6b) 3t² - 17t + 28c) 3t² - 5t - 2Step-by-step explanation:
Given function:
g(t) = 3t² - 5t + 4a) g(2)
g(2) = 3*2² - 5*2 + 4 = 3*4 - 10 + 4 = 12 - 6 = 6b) g(t - 2)
g(t - 2) = 3(t - 2)² - 5(t - 2) + 4 = 3(t² - 4t + 4) - 5t + 10 + 4 = 3t² - 12t + 12 - 5t + 16 = 3t² - 17t + 28c) g(t) - g(2)
g(t) - g(2) = 3t² - 5t + 4 - 6 = 3t² - 5t - 2